Prime p₀= 2062929484944814667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Cruncher Pete
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2062928427898171661	0 2 36 38 78 80 120 122 156 158	-1057046643006
STPT(10)	2062928710556137511	0 2 6 8 48 50 90 92 96 98	-774388677156
SPT(13)	2062929028983828613	0 60 66 90 114 126 150 174 186 210 234 240 300	-455960986054
TPT(14)	2062929267255188999	0 2 18 20 30 32 102 104 168 170 210 212 252 254	-217689625668
SPT(16)	2062929401896477073	0 14 36 50 84 108 116 134 150 168 176 200 234 248 270 284	-83048337594
SPT(16)	2062929406981381607	0 50 54 56 60 144 210 236 270 296 362 446 450 452 456 506	-77963433060
STPT(10)	2062929727331503571	0 2 30 32 78 80 126 128 156 158	242386688904
STPT(10)	2062930025002029941	0 2 6 8 18 20 30 32 36 38	540057215274
SPT(16)	2062930134877451527	0 22 34 52 94 102 114 132 172 190 202 210 252 270 282 304	649932636860
SPT(16)	2062930172542290581	0 38 66 80 110 182 186 192 236 242 246 318 348 362 390 428	687597475914
SPT(16)	2062930383658914551	0 12 18 38 42 56 80 90 278 288 312 326 330 350 356 368	898714099884